Creation of multiple electron-positron pairs in arbitrary fields
... The Dirac equation i 兩典 / t = h兩典 for the single-particle state 兩典 has a formal solution in terms of the time evolution operator u共t兲 = To exp共−i兰hdt兲, which, in principle, contains all the information about the quantum-mechanical system. As h is time dependent in general, To denotes the requi ...
... The Dirac equation i 兩典 / t = h兩典 for the single-particle state 兩典 has a formal solution in terms of the time evolution operator u共t兲 = To exp共−i兰hdt兲, which, in principle, contains all the information about the quantum-mechanical system. As h is time dependent in general, To denotes the requi ...
Commun. math. Phys. 52, 239—254
... operators of the form —Δ + V(x) [with V{x)->0 as |x|-*oo in some sense] this class of operators has become quite well understood (see [15,17,18] for references to original contributions). It is the purpose of this paper to initiate a study of the class of operators which result from the above by the ...
... operators of the form —Δ + V(x) [with V{x)->0 as |x|-*oo in some sense] this class of operators has become quite well understood (see [15,17,18] for references to original contributions). It is the purpose of this paper to initiate a study of the class of operators which result from the above by the ...
CC_3_24.7.2013
... theory. Although the two formulations are mathematically equivalent, Schrödinger presented his theory in terms of partial differential equations and, within this framework, the energy of an isolated molecule can be obtained by the solution of a wave equation called the Schrödinger equation. Schrödin ...
... theory. Although the two formulations are mathematically equivalent, Schrödinger presented his theory in terms of partial differential equations and, within this framework, the energy of an isolated molecule can be obtained by the solution of a wave equation called the Schrödinger equation. Schrödin ...
Modern Physics
... wavefunction. Everything that is observable in nature must somehow be extracted from the wavefunction. This means that quantities like momentum can only be determined by manipulating the wavefunction is some way, in this case by taking a spatial derivative. Thus, quantities like momentum (or kinetic ...
... wavefunction. Everything that is observable in nature must somehow be extracted from the wavefunction. This means that quantities like momentum can only be determined by manipulating the wavefunction is some way, in this case by taking a spatial derivative. Thus, quantities like momentum (or kinetic ...
C. 11
... • Note that if A has explicit time dependence, another term must be added • If the Hamiltonian has no explicit time dependence, then H will not evolve, so d i H H t H H t0 H S A t H , A t dt • Other postulates must be changed slightly as well • State vector does change, bu ...
... • Note that if A has explicit time dependence, another term must be added • If the Hamiltonian has no explicit time dependence, then H will not evolve, so d i H H t H H t0 H S A t H , A t dt • Other postulates must be changed slightly as well • State vector does change, bu ...
Path Integrals and the Quantum Routhian David Poland
... Now we consider a slightly more interesting example, in which we also see how utilizing conserved momentum can lead to calculational simplifications - that of a free particle confined to a circle. In order to do this, we first must deal with some subtleties related to path integral quantization on m ...
... Now we consider a slightly more interesting example, in which we also see how utilizing conserved momentum can lead to calculational simplifications - that of a free particle confined to a circle. In order to do this, we first must deal with some subtleties related to path integral quantization on m ...
Chapter 10: Relativistic Quantum Mechanics
... It holds, 110 0 = ≥ 1 and, hence, 11 ∈ L↑+ . Since the associative property holds for matrix multiplication we have verified that L↑+ is indeed a subgroup of SO(3,1). L↑+ is called the subgroup of proper, orthochronous Lorentz transformations. In the following we will consider solely this subgroup o ...
... It holds, 110 0 = ≥ 1 and, hence, 11 ∈ L↑+ . Since the associative property holds for matrix multiplication we have verified that L↑+ is indeed a subgroup of SO(3,1). L↑+ is called the subgroup of proper, orthochronous Lorentz transformations. In the following we will consider solely this subgroup o ...
